Bibliography

Foundational references across Mechanikon

• Reingold, Edward M., and Dershowitz, Nachum. Calendrical Calculations: The Ultimate Edition, 4th ed. Cambridge University Press, 2018. ISBN 978-1-107-05762-3. The arithmetic and astronomical algorithms for every calendar conversion on this site are ported from this work. See NOTICE.
• Meeus, Jean. Astronomical Algorithms, 2nd ed. Willmann-Bell, 1998. Source for the ephemeris primitives (solar longitude, lunar phase, new moon iteration) used wherever an astronomical calendar requires them.
• Stephenson, F. Richard, and Morrison, Leslie V. Historical values of the Earth's clock error ΔT, Journal for the History of Astronomy 26 (1995) 117–147. Source for the ΔT correction polynomials spanning -500 to +2150 CE.

Antikythera mechanism

• Freeth, T., et al. "Decoding the ancient Greek astronomical calculator known as the Antikythera Mechanism." Nature 444 (2006) 587–591. Source for Freeth-2006 gear-train reconstruction.
• Freeth, T., et al. "A Model of the Cosmos in the Ancient Greek Antikythera Mechanism." Scientific Reports 11 (2021) 5821. Source for Freeth-2021 planetary-train reconstruction and supplementary Table S9.
• Wright, M. T. "The Antikythera Mechanism: A new gearing scheme." Bulletin of the Scientific Instrument Society 85 (2005) 2–7. Wright-2012 alternate-planetary reconstruction.
• Anastasiou, M., et al. "The Inscriptions of the Antikythera Mechanism 4: The Back Dial and Back Plate Inscriptions." Almagest 7.1 (2016). Saros spiral verbatim inscription source.
• Bitsakis, Y., and Jones, A. "The Front Cover Inscription." Almagest 7.1 (2016) 216–249.
• Bitsakis, Y., Jones, A., et al. "The Back Cover Inscription." Almagest 7.1 (2016) 250–297.

For the complete Antikythera source list see antikythera/sources.md.

Calendars — governing authorities

• Hebrew. Chief Rabbinate of Israel — chiefrabbinate.org.il.
• Islamic (Umm al-Qura). ummulqura.org.sa. Official Saudi calendar.
• Chinese. Hong Kong Observatory — hko.gov.hk. Canonical astronomical calendar for the Chinese-speaking world outside Mainland China.
• Iranian (Solar Hijri). Office of the Iranian Presidency, Cultural Calendar Secretariat.
• Indian (Shaka). Government of India, Gazette notification of 1957 — see egazette.nic.in.
• Ethiopian. Ethiopian Orthodox Tewahedo Church — ethiopianorthodox.org.
• Coptic. Coptic Orthodox Patriarchate — copticchurch.net.
• Japanese nengō. Imperial Household Agency — kunaicho.go.jp.
• Maya Tzolk'in. Oxlajuj Ajpop council of Mayan elders (contact via Guatemalan cultural ministry).

Calendars — scholarly references

• Stern, Sacha. Calendar and Community: A History of the Jewish Calendar, Second Century BCE – Tenth Century CE. Oxford University Press, 2001. Authoritative on the gradual emergence of the fixed Hebrew calendar.
• Parker, Richard A., and Dubberstein, Waldo H. Babylonian Chronology 626 B.C. – A.D. 75. Brown University Press, 1956. The canonical Seleucid-era Babylonian calendar table.
• Aslaksen, Helmer. "The Mathematics of the Chinese Calendar." National University of Singapore manuscript, 2010. Clear exposition of the zhōngqì-based month-labeling rule.
• Bruin, F. "The First Visibility of the Lunar Crescent." Vistas in Astronomy 21 (1977) 331. Basis for arithmetic Islamic lunar rules.
• Dershowitz, N. "The Indian Calendars — A Computational Primer." Proceedings of a symposium on Hindu astronomy, 2008. Companion to R-D chapter 20.
• Milbrath, Susan. Star Gods of the Maya: Astronomy in Art, Folklore, and Calendars. University of Texas Press, 1999. Maya calendars and their astronomical anchoring.

Data sources ported with attribution

• Alwadani, Dhaifallah. hijri-converter. MIT-licensed. github.com/dalwadani/hijri-converter. Source of the Umm al-Qura month-start lookup table used by lib/calendrica-js/data/umm-al-qura.js.